Binary to Decimal Converter Online

Convert binary digits to decimal. Binary number system (base-2) to decimal (base-10) converter.

The Binary to Decimal converter is specifically developed to handle binary strings, which are sequences of digits consisting of only 0s and 1s. The purpose of this converter is to provide a quick and efficient method for users to translate binary values into their corresponding decimal representations.

How it works:

In the binary number system, each digit can only have one of two possible values: 0 or 1. However, in the decimal number system, each digit can have values ranging from 0 to 9. The converter performs the conversion by using the following algorithm:

  1. Starting from the rightmost digit of the binary string, take each digit and multiply it by 2 raised to the power of its position from the rightmost digit. The rightmost digit is in position 0, the next digit to the left is in position 1, and so on.
  2. Sum up the results obtained from step 1 for all digits in the binary string to obtain the decimal value.